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Finding the Fourth Proportional to 13,951.34, 19,254.03 and 7,665.02

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Solution

The fourth proportional to 13,951.34, 19,254.03 and 7,665.02 is: 10,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.34 : 19,254.03 = 7,665.02 : x
  2. Step 2: Convert to fraction form
    13,951.34/19,254.03 = 7,665.02/x
  3. Step 3: Cross multiply
    13,951.34x = 19,254.03 × 7,665.02
  4. Step 4: Simplify right side
    13,951.34x = 147,582,525.03
  5. Step 5: Solve for x
    x = 147,582,525.03/13,951.34
  6. Step 6: Final answer
    x = 10,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.